Let the figure (Figure 1) represent a strip of an unknown metal with z1z1=11.8 mmmm and y1y1=0.23 mmmm. When the magnetic field is 2.29 TT and the current is 78.0 AA, the Hall emf is found to be 131 μVμV. What does the simplified model of the Hall effect give for the density of free electrons in the unknown metal?

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Chapter1: Units, Trigonometry. And Vectors
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Let the figure (Figure 1) represent a strip of an unknown metal with z1z1=11.8 mmmm and y1y1=0.23 mmmm. When the magnetic field is 2.29 TT and the current is 78.0 AA, the Hall emf is found to be 131 μVμV. What does the simplified model of the Hall effect give for the density of free electrons in the unknown metal?

The image illustrates a three-dimensional rectangular conducting slab placed in a coordinate system. 

- **Axes**: 
  - The slab is aligned with the x, y, and z axes.
  - The width along the z-axis is labeled as \( z_1 \).
  - The height along the y-axis is labeled as \( y_1 \).

- **Current \( I \)**: 
  - Indicated by a purple arrow moving to the right along the x-axis. It represents the flow of electric current through the slab.

- **Magnetic Field \( \mathbf{B} \)**:
  - Represented by a blue arrow pointing up along the positive y-axis. This shows the direction of the magnetic field penetrating the slab.
  
This diagram could be used to explore concepts such as the magnetic force on a current-carrying conductor, the Lorentz force, or to demonstrate the effect of magnetic fields on electric currents within a conductive material.
Transcribed Image Text:The image illustrates a three-dimensional rectangular conducting slab placed in a coordinate system. - **Axes**: - The slab is aligned with the x, y, and z axes. - The width along the z-axis is labeled as \( z_1 \). - The height along the y-axis is labeled as \( y_1 \). - **Current \( I \)**: - Indicated by a purple arrow moving to the right along the x-axis. It represents the flow of electric current through the slab. - **Magnetic Field \( \mathbf{B} \)**: - Represented by a blue arrow pointing up along the positive y-axis. This shows the direction of the magnetic field penetrating the slab. This diagram could be used to explore concepts such as the magnetic force on a current-carrying conductor, the Lorentz force, or to demonstrate the effect of magnetic fields on electric currents within a conductive material.
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